Please help with the calculus problems

1)

Consider the function f(z) = =1. (a) Fill in the following table of values for f(z): T = -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 f(z) = 1.486600775 1.596555664 1.608143462 1.609308405 1.609567434 1.610733753 1622459127 1.746189431 (b) Based on your table of values, what would you expect the limit of f(z) as & approaches zero to be? lim ] 609 z0 * (c) Graph the function to see if it is consistent with your answers to parts (a) and (b). By graphing, find an interval for @ near zero such that the difference between your conjectured limit and the value of the function is less than 0.01. In other words, find a window of height 0.02 such that the graph exits the sides of the window and not the top or botrom. Whar is the window? A 8 A A = A Let F be the function below. Evaluate each of the following expressions: a) lim F(x) = help (limits) b) lim F(x) = I -1+ c) lim F(x) = d) F(-1) = e) lim F(x) = 1 f) lim F(x) = 2 g) lim F(I) = DNE h) lim F(x) = I +3 i) F(3) = DNELet F be the function whose graph is shown below. Evaluate each of the following expressions. (If a limit does not exist or is undefined, enter "DNE") 1. lim F(r)= 2. lim F(@)= I -1+ 3. lim F(c)= 4. F(-1)= 1/0 5. lim F(@)= 6. lim F(x)= 7. lim F(c)= 8. lim F(x)= -6 I-13 The graph of y = F(x). 9. F(3)=- Part 1: Identifying vertical asymptotes What are the vertical asymptotes of f(I) = ? Your answer should be a number, a list of numbers separated by commas, or None. 16 Vertical asymptotes at c =7 Let f(x) = if a -1 Calculate the following limits. lim f(@) = help (limits) lim f(x) = help (limits) lim f(x) help (limits) I +1 Submit answer Next itemFor the function T'-5, 0